What is the answer to |6x-2|=|4x+17| ?

The answer to |6x-2|=|4x+17| is x=-3/2 \lor x= 19/2

Solve for x: |6x-2|=|4x+17|

The solution is x=-3/2 \lor x= 19/2

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∣ 6 x - 2 ∣ = ∣ 4 x + 17 ∣

x = - \frac{3}{2} or x = \frac{19}{2}

Decimal

x = - 1.5, x = 9.5

Solution steps

∣ 6 x - 2 ∣ = ∣ 4 x + 17 ∣

Find positive and negative intervals

x < - \frac{17}{4}, - \frac{17}{4} \leq x < \frac{1}{3}, x \geq \frac{1}{3}

Solve the inequality for each interval

No Solution or x = - \frac{3}{2} or x = \frac{19}{2}

x = - \frac{3}{2} or x = \frac{19}{2}

x^{2} - 6 = 6 - x^{2}

∣ x - 2 ∣ = ∣ 3 x - 4 ∣

- 4 - ∣ x ∣ = - 9

∣ 2 x - 5 ∣ = 3 x - 5

5 - 3 ∣ 2 + 2 x ∣ = - 7

What is the answer to |6x-2|=|4x+17| ?
The answer to |6x-2|=|4x+17| is x=-3/2 \lor x= 19/2
Solve for x: |6x-2|=|4x+17|
The solution is x=-3/2 \lor x= 19/2